Question
Answer
$$\dfrac{10\sqrt{224}}{224}=\dfrac{5\sqrt{14}}{28}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{10\sqrt{224}}{224}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{40\sqrt{14}}{224} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{ 40 \sqrt{ 14 } : \color{blue}{ 8 } } { 224 : \color{blue}{ 8 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{5\sqrt{14}}{28}\end{aligned} $$ | |
| ① | $$ 10 \sqrt{224} =
10 \sqrt{ 4 ^2 \cdot 14 } =
10 \sqrt{ 4 ^2 } \, \sqrt{ 14 } =
10 \cdot 4 \sqrt{ 14 } =
40 \sqrt{ 14 } $$ |
| ② | Divide numerator and denominator by $ \color{blue}{ 8 } $. |
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